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Finding the Fourth Proportional to 24,280.76, 36,425.75 and 9,488.75

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Solution

The fourth proportional to 24,280.76, 36,425.75 and 9,488.75 is: 14,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,280.76 : 36,425.75 = 9,488.75 : x
  2. Step 2: Convert to fraction form
    24,280.76/36,425.75 = 9,488.75/x
  3. Step 3: Cross multiply
    24,280.76x = 36,425.75 × 9,488.75
  4. Step 4: Simplify right side
    24,280.76x = 345,634,605.74
  5. Step 5: Solve for x
    x = 345,634,605.74/24,280.76
  6. Step 6: Final answer
    x = 14,234.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.